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20182026
most citedEstimation of the Robin coefficient field in a Poisson problem with uncertain conductivity field

21 citations · 47 across the 14 of their papers we have counts for

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6 papers · 1 filter

math.OC2026

Online Gate-Driven Flow Control in Resin Transfer Moulding Using a Neural-Network Surrogate

Nicholas Wright, Oliver Maclaren, Piaras Kelly +2

In resin transfer moulding, complete saturation of the fibre preform is necessary before the resin front reaches the outlet vent(s), to prevent dry-spot formation. In practice, the…

math.OC2026

Shape Derivative-Informed Neural Operators with Application to Risk-Averse Shape Optimization

Xindi Gong, Dingcheng Luo, Thomas O'Leary-Roseberry +2

Shape optimization under uncertainty (OUU) is computationally intensive for classical PDE-based methods due to the high cost of repeated sampling-based risk evaluation across many…

math.OC2025

Taylor Approximation Variance Reduction for Approximation Errors in PDE-constrained Bayesian Inverse Problems

Ruanui Nicholson, Radoslav Vuchkov, Umberto Villa +1

In numerous applications, surrogate models are used as a replacement for accurate parameter-to-observable mappings when solving large-scale inverse problems governed by partial dif…

math.OC2021★ 2 cited

Joint Estimation of Robin Coefficient and Domain Boundary for the Poisson Problem

Ruanui Nicholson, Matti Niskanen

We consider the problem of simultaneously inferring the heterogeneous coefficient field for a Robin boundary condition on an inaccessible part of the boundary along with the shape…

math.OC2018

An Additive Approximation to Multiplicative Noise

Ruanui Nicholson, Jari P. Kaipio

Multiplicative noise models are often used instead of additive noise models in cases in which the noise variance depends on the state. Furthermore, when Poisson distributions with…

math.OC2018★ 21 cited

Estimation of the Robin coefficient field in a Poisson problem with uncertain conductivity field

Ruanui Nicholson, Noemi Petra, Jari Kaipio

We consider the reconstruction of a heterogeneous coefficient field in a Robin boundary condition on an inaccessible part of the boundary in a Poisson problem with an uncertain (or…